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Finding the Third Proportional to 238,352 and 513,296

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Solution

The third proportional to 238,352 and 513,296 is: 1,105,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,352 : 513,296 = 513,296 : x
  2. Step 2: Convert to fraction form
    238,352/513,296 = 513,296/x
  3. Step 3: Cross multiply
    238,352x = 513,296 × 513,296
  4. Step 4: Simplify right side
    238,352x = 263,472,783,616
  5. Step 5: Solve for x
    x = 263,472,783,616/238,352
  6. Step 6: Final answer
    x = 1,105,393.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.